Can someone please help me?

Please Help? A circle has an arc length of 5π in. The central angle for this arc measures π/3 radians. What is the area of the a

Zielflug [23.3K]

Answer:

The area of the associated sector is $\frac{25}{24}\pi \ in^{2}$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

$C=5\pi\ in$

substitute and solve for r

$5\pi=2\pi r$

$r=2.5\ in$

step 2

Find the area of the circle

we know that

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=2.5\ in$

substitute

$A=\pi (2.5^{2})=6.25\pi\ in^{2}$

step 3

Find the area of the associated sector

we know that

$2\pi\ radians$ subtends the complete circle of area $6.25\pi\ in^{2}$

so

by proportion

Find the area of a sector with a central angle of $\pi/3\ radians$

$\frac{6.25\pi }{2\pi} =\frac{x}{\pi/3}\\x=6.25*(\pi/3)/2\\ \\x=\frac{25}{24}\pi \ in^{2}$

8 0

3 years ago

2. An expression is shown.

laiz [17]

Adding parentheses in the component $9\div 3$ of the expression may bring an output of 48.

<h3>Procedure - Application of hierarchy rules in a arithmetic expression</h3>

In this question we should make use of hierarchy rules represented by the use of parentheses. The parentheses oblige to make operations inside it before making it in the rest of the formula.

Now we decide to add parenthesis in the component $9\div 3$ such that the result of the entire expression is 48. We proceed to present the proof:

$2 \times 8 \times (9\div 3)$

$2\times 8 \times 3$

$2\times 24$

$48$

Adding parentheses in the component $9\div 3$ of the expression may bring an output of 48. $\blacksquare$

<h3>Remarks</h3>

The statement presents mistakes and is poorly formatted. Correct form is shown below:

An expression is shown: $2\times 8 \times 9 \div 3$

Using the same expression, add parenthesis so that the value of the expression is 48.

To learn more on hierarchy rule, we kindly invite to check this verified question: brainly.com/question/3572440

5 0

2 years ago

What are the next three terms in the sequence 4,8,12,16?

Mariana [72]

Answer:

20,24,28

Step-by-step explanation:

It is increasing by 4 each time

Mark me brainliest please :)

7 0

2 years ago

Read 2 more answers

Do not round your answer. Type in just the number. 0.48 is what % of 1 .6

MakcuM [25]

Answer:

0.00768

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

25 POINTS PLEASE HELP ME!! Sam conjectures that for x ≤ - 2, it is true that x^5 + 7 > x^3. Is Sam’s conjecture correct? Why

CaHeK987 [17]

The true statement about Sam’s conjecture is that the conjecture is not correct

<h3>How to determine if Sam’s conjecture is correct or not?</h3>

Sam’s conjecture is given as:

For x ≤ - 2

It is true that x^5 + 7 > x^3.

The inequality x ≤ - 2 means that the highest value of x is -2

Assume the value of x is -2, then we have:

(-2)^5 + 7 > (-2)^3

Evaluate the exponents

-32 + 7 > -8

Evaluate the sum

-25 > -8

The above inequality is false because -8 is greater than -25 i.e. -8 > -25 or -25 < -8

Hence, the true statement about Sam’s conjecture is that the conjecture is not correct